Prepare for Calculus 1 with a comprehensive video series covering College Algebra and Trigonometry. Master functions, quadratic equations, polynomials, rational functions, inequalities, exponentials, logarithms, sequences, series, trigonometric functions, inverse trigonometry, identities, and polar coordinates. Explore graph transformations, solve complex equations, and apply mathematical concepts to real-world problems. Develop a strong foundation in precalculus through detailed explanations, proofs, and practical examples over the course of more than 70 hours of instruction.
Precalculus - College Algebra-Trigonometry
Overview
Syllabus
Intro to Precalculus (Precalculus - College Algebra 1).
Introduction to Functions (Precalculus - College Algebra 2).
How to Evaluate Functions (Precalculus - College Algebra 3).
Finding the Domain of Functions (Precalculus - College Algebra 4).
Operations of Functions (Precalculus - College Algebra 5).
Using the Vertical Line Test (Precalculus - College Algebra 6).
Features of Graphs, Domain, Range (Precalculus - College Algebra 7).
Properties of Functions - Even vs Odd (Precalculus - College Algebra 8).
Properties of Functions - Increasing vs Decreasing (Precalculus - College Algebra 9).
Properties of Functions - Extrema (Precalculus - College Algebra 10).
Average Rate of Change of a Function (Precalculus - College Algebra 11).
How to Graph Piecewise Functions (Precalculus - College Algebra 12).
Graphs You Must Know (Precalculus - College Algebra 13).
Introduction to Graph Transformations (Precalculus - College Algebra 14).
How to Graph with Transformations (Precalculus - College Algebra 15).
Introduction to Solving Quadratics (Precalculus - College Algebra 16).
The Square Root Method in Solving Quadratics (Precalculus - College Algebra 17).
Using Factoring to Solve Quadratics (Precalculus - College Algebra 18).
Completing the Square Made Easy (Precalculus - College Algebra 19).
Proving the Quadratic Formula - Twice (Precalculus - College Algebra 20).
Using the Quadratic Formula (Precalculus - College Algebra 21).
Finding Intersections of Functions (Precaluclus - College Algebra 22).
Using Substitutions to Solve Equations (Precalculus - College Algebra 23).
Graphing Quadratic Functions (Precalculus - College Algebra 24).
Solving Quadratic Inequalities (Precalculus - College Algebra 25).
Applications of Quadratic Functions (Precalculus - College Algebra 26).
Introduction to Polynomial Functions (Precalculus - College Algebra 27).
Power Functions (Precalculus - College Algebra 28).
Multiplicity and End Behavior of Polynomials (Precalculus - College Algebra 29).
Creating Polynomials from Real Zeros (Precalculus - College Algebra 30).
How to Sketch Polynomial Functions (Precalculus - College Algebra 31).
Synthetic Division and Long Division of Polynomials (Precalculus - College Algebra 32).
Descartes Rule of Signs (Precalculus - College Algebra 33).
How to Use the Rational Zeros Theorem (Precalculus - College Algebra 34).
Introduction to Complex Solutions of Polynomials (Precalculus - College algebra 35).
Creating Polynomials from Complex Solutions (Precalculus - College Algebra 36).
Finding ALL Solutions of Polynomials (Precalculus - College Algebra 37).
Finding Vertical Asymptotes of Rational Functions (Precalculus - College Algebra 38).
Graphing Rational Functions with Transformations (Precalculus - College Algebra 39).
Finding a Horizontal Asymptote of a Rational Function (Precalculus - College Algebra 40).
Finding an Oblique Asymptote of a Rational Function (Precalculus - College Algebra 41).
Finding End Behavior of Rational Functions (Precalculus - College Algebra 42).
Finding Asymptotes and Holes of Rational Functions (Precalculus - College Algebra 43).
Graphing Rational Functions (Precalculus - College Algebra 44).
Inequalities with Functions - Graphically (Precalculus - College Algebra 45).
Inequalities with Polynomial Functions (Precalculus - College Algebra 46).
Inequalities with Rational Functions (Precalculus - College Algebra 47).
Composition of Functions (Precalculus - College Algebra 48).
Finding Domain of Composite Functions (Precalculus - College Algebra 49).
One to One Functions (Precalculus - College Algebra 50).
Finding Inverse Functions (Precalculus - College Algebra 51).
Graphs of Exponential Functions (Precalculus - College Algebra 52).
Graphing Exponential Functions with Transformations (Precalculus -College Algebra 53).
Solving Exponential Equations with Common Bases (Precalculus - College Algebra 54).
Introduction to Logarithms and Their Graphs (Precalculus - College Algebra 55).
Graphing Logarithms with Transformations (Precalculus - College Algebra 56).
Introduction to Solving Logarithms and Exponentials (Precalculus - College Algebra 57).
Properties of Logarithms (Precalculus - College Algebra 58).
How to Expand Logarithms (Precalculus - College Algebra 59).
How to Combine Logarithms (Precalculus - College Algebra 60).
How to Change the Base of a Logarithm (Precalculus - College Algebra 61).
Solving Logarithms with Common Bases (Precalculus - College Algebra 62).
Solving Logarithmic Equations with Exponentials (Precalculus - College Algebra 63).
Solving Exponential Equations with Logarithms (Precalculus - College Algebra 64).
Review of Compound Interest (Precalculus - College Algebra 65).
Exponential Growth and Decay (Precalculus - College Algebra 66).
Introduction to Sequences (Precalculus - College Algebra 67).
Introduction to Series and Summation Notation (Precalculus - College Algebra 68).
Arithmetic Sequences (Precalculus - College Algebra 69).
Arithmetic Series (Precalculus - College Algebra 70).
Geometric Sequences (Precalculus - College Algebra 71).
Geometric Series (Precalculus - College Algebra 72).
Proof by Mathematical Induction (Precalculus - College Algebra 73).
Introduction to Angles (Precalculus - Trigonometry 1).
Converting Degrees, Minutes, and Seconds (Precalculus - Trigonometry 2).
Introduction to Radians (Precalculus - Trigonometry 3).
Converting Radians and Degrees (Precalculus - Trigonometry 4).
Area of a Sector, Angular Velocity, Applications (Precalculus - Trigonometry 5).
Trigonometric Functions and the Unit Circle (Precalculus - Trigonometry 6).
How to Use the Unit Circle in Trigonometry (Precalculus - Trigonometry 7).
Basic Properties of Trigonometric Functions (Precalculus - Trigonometry 8).
Reciprocal Identities in Trigonometry (Precalculus - Trigonometry 9).
Pythagorean Identities for Trigonometric Functions (Precalculus - Trigonometry 10).
The Graphs of Sine and Cosine (Precalculus - Trigonometry 11).
Graphing Transformations with Sine and Cosine (Precalculus - Trigonometry 12).
How to Graph Tangent and Cotangent (Precalculus - Trigonometry 13).
Graphing Transformations with Tangent and Cotangent (Precalculus - Trigonometry 14).
How to Graph Cosecant and Secant (Precalculus - Trigonometry 15).
How to Graph Phase Shifts of Trigonometric Functions (Precalculus - Trigonometry 16).
Introduction to Inverse Trigonometric Functions (Precalculus - Trigonometry 17).
How to Use Inverse Trigonometric Functions (Precalculus - Trigonometry 18).
How to Find Inverse Trigonometric Functions (Precalculus - Trigonometry 19).
How to Solve Basic Inverse Trigonometric Functions (Precalculus - Trigonometry 20).
An Indepth Look at Using Inverse Trig Functions (Precalculus - Trigonometry 21).
How to Solve Trigonometric Equations (Precalculus - Trigonometry 22).
Introduction to Using Trigonometric Identities (Precalculus - Trigonometry 23).
How to Prove Trigonometric Identities (Precalculus - Trigonometry 24).
Introduction to Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 25).
Using Sum and Difference Formulas in Trigonometry (Precalculus - Trigonometry 26).
Proving the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 27).
How to Use the Double and Half Angle Formulas for Trigonometry (Precalculus - Trigonometry 28).
How to Use Product to Sum and Sum to Product Formulas in Trig (Precalculus - Trigonometry 29).
Introduction to Right Triangle Trigonometry (Precalculus - Trigonometry 30).
Finding Sides and Angles with Right Triangle Trigonometry (Precalculus - Trigonometry 31).
How to Use the Law of Sines in Trigonometry (Precalculus - Trigonometry 32).
How to Use the Law of Cosines in Trigonometry (Precalculus - Trigonometry 33).
How to Find the Area of a Triangle with Trigonometry (Precalculus - Trigonometry 34).
Simple Harmonic Motion in Trig (Precalculus - Trigonometry 35).
Introduction to Polar Coordinates (Precalculus - Trigonometry 36).
How to Convert From Polar Coordinates to Rectangular Coordinates (Precalculus - Trigonometry 37).
How to Convert From Rectangular Coordinates to Polar Coordinates (Precalculus - Trigonometry 38).
How to Convert From Rectangular Equations to Polar Equations (Precalculus - Trigonometry 39).
How to Convert From Polar Equations to Rectangular Equations (Precalculus - Trigonometry 40).
How to Graph Basic Polar Equations (Precalculus - Trigonometry 41).
How to Graph Advanced Polar Equations with Symmetry (Precalculus - Trigonometry 42).
Taught by
Professor Leonard
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Reviews
5.0 rating, based on 1 Class Central review
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I just started this course but so far he is really easy to under stand with plenty examples. It is broken in to shorter videos so I can watch when I have time and not lose my place.
